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Finding the Fourth Proportional to 6,100.20, 9,138.15 and 3,322.71

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Solution

The fourth proportional to 6,100.20, 9,138.15 and 3,322.71 is: 4,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.20 : 9,138.15 = 3,322.71 : x
  2. Step 2: Convert to fraction form
    6,100.20/9,138.15 = 3,322.71/x
  3. Step 3: Cross multiply
    6,100.20x = 9,138.15 × 3,322.71
  4. Step 4: Simplify right side
    6,100.20x = 30,363,422.39
  5. Step 5: Solve for x
    x = 30,363,422.39/6,100.20
  6. Step 6: Final answer
    x = 4,977.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.